13148257122 has 486 divisors, whose sum is σ = 40957936929. Its totient is φ = 3152429280.

The previous prime is 13148256997. The next prime is 13148257123. The reversal of 13148257122 is 22175284131.

13148257122 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 82 + 571 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11242148841 + 1906108281 = 106029^2 + 43659^2 .

It is a tau number, because it is divible by the number of its divisors (486).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=81081.

It is not an unprimeable number, because it can be changed into a prime (13148257123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1011404388 + ... + 1011404400.

Almost surely, 2^13148257122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13148257122

13148257122 is an abundant number, since it is smaller than the sum of its proper divisors (27809679807).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13148257122 is an equidigital number, since it uses as much as digits as its factorization.

13148257122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 13148257122 in words is "thirteen billion, one hundred forty-eight million, two hundred fifty-seven thousand, one hundred twenty-two".